8219872 divided by 684 
We want to divide 8219872 by 684.

Advancing to step 1:
684 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 684

Step 2:
When dividing 82 by 684, we get 0 with a remainder of 82.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 82 to get 82.
Fetch the next digit (1) from the dividend, attach it to 82 and continue: 821 / 684

On to step 3:
684 goes into 821 1 times with a remainder of 137.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 684 from 821, we get 137.
Bring next digit (9) of the dividend behind the 137 and repeat the process: 1379 / 684

Going ahead to step 4:
The number 684 fits into 1379 2 times, leaving a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 1368 away from 1379, we end up with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 684

Step 5:
118 divided by 684 is 0 with a remainder of 118.
Use 0 as the next digit of our solution. 
Result so far: 120.0
If we subtract 0 from 118, we get 118.
Bring next digit (7) of the dividend behind the 118 and repeat the process: 1187 / 684

Let's proceed to step 6:
684 goes into 1187 1 times with a remainder of 503.
The number 1 becomes the next digit in our result. 
Result so far: 1201.0
Subtracting 684 from 1187 leaves us with 503.
Include the next digit (2) from the dividend after 503, then repeat: 5032 / 684

Moving on to step 7:
When dividing 5032 by 684, we get 7 with a remainder of 244.
Record the quotient 7 as the next digit in the result. 
Result so far: 12017.0
The remainder is 244 after subtracting 4788 from 5032.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Moving on to step 8:
If we divide 2440 by 684, we get 3 and a remainder of 388.
Put 3 as the next digit of the answer. 
Result so far: 12017.3
Deduct 2052 from 2440 and we're left with 388.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3880, and continue the process.

Step 9:
684 can be fit into 3880 5 times, resulting in a remainder of 460.
The next digit of our result is 5. 
Result so far: 12017.35
If we take 3420 away from 3880, we end up with 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Moving on to step 10:
If we divide 4600 by 684, we get 6 and a remainder of 496.
Put 6 as the next digit of the answer. 
Result so far: 12017.356
If we subtract 4104 from 4600, we get 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Going ahead to step 11:
4960 divided by 684 is 7 with a remainder of 172.
Put 7 as the next digit of the answer. 
Result so far: 12017.3567
Subtract 4788 from 4960 to get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

On to step 12:
When dividing 1720 by 684, we get 2 with a remainder of 352.
The next digit of our result is 2. 
Result so far: 12017.35672
Subtracting 1368 from 1720 leaves us with 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 13:
The number 684 fits into 3520 5 times, leaving a remainder of 100.
Put 5 as the next digit of the answer. 
Result so far: 12017.356725
If we subtract 3420 from 3520, we get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 14:
If we divide 1000 by 684, we get 1 and a remainder of 316.
The number 1 becomes the next digit in our result. 
Result so far: 12017.3567251
The remainder is 316 after subtracting 684 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 15:
When dividing 3160 by 684, we get 4 with a remainder of 424.
The next digit of our result is 4. 
Result so far: 12017.35672514
If we take 2736 away from 3160, we end up with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

The final result is 12017.35672514 with a remainder of 4.24e-07.